{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [文本和标注](04.09-Text-and-Annotation.ipynb) | [目录](Index.ipynb) | [自定义matplotlib：配置和样式单](04.11-Settings-and-Stylesheets.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/wangyingsm/Python-Data-Science-Handbook/blob/master/notebooks/04.10-Customizing-Ticks.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Ticks\n",
    "\n",
    "# 自定义刻度"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Matplotlib's default tick locators and formatters are designed to be generally sufficient in many common situations, but are in no way optimal for every plot. This section will give several examples of adjusting the tick locations and formatting for the particular plot type you're interested in.\n",
    "\n",
    "Matplotlib默认的刻度标志和格式被设计成能满足许多通用场景的需求，但是不会是所有图表的最佳选择。本节会介绍一些调整刻度位置和格式的例子来说明自定义刻度的使用。\n",
    "\n",
    "> Before we go into examples, it will be best for us to understand further the object hierarchy of Matplotlib plots.\n",
    "Matplotlib aims to have a Python object representing everything that appears on the plot: for example, recall that the ``figure`` is the bounding box within which plot elements appear.\n",
    "Each Matplotlib object can also act as a container of sub-objects: for example, each ``figure`` can contain one or more ``axes`` objects, each of which in turn contain other objects representing plot contents.\n",
    "\n",
    "在介绍例子之前，我们应该加深对Matplotlib图表的对象层次的理解。Matplotlib的设计目标是展示在图表中的所有内容都会表达成为Python的对象：例如，回忆前面我们介绍过`figure`指的是用来展示图表所有内容的方框。每个Matplotlib对象也被设计为其子对象的一个容器：例如`figure`对象中可以包含一个或多个`axes`对象，每个`axes`对象都依次包含着其他用来展示图表的内容对象。\n",
    "\n",
    "> The tick marks are no exception. Each ``axes`` has attributes ``xaxis`` and ``yaxis``, which in turn have attributes that contain all the properties of the lines, ticks, and labels that make up the axes.\n",
    "\n",
    "刻度也不例外。每个`axes`对象都有着属性`xaxis`和`yaxis`，表示x和y轴，其中包含着所有的属性用来指代轴的线、刻度和标签。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Major and Minor Ticks\n",
    "\n",
    "## 主要的和次要的刻度\n",
    "\n",
    "> Within each axis, there is the concept of a *major* tick mark, and a *minor* tick mark. As the names would imply, major ticks are usually bigger or more pronounced, while minor ticks are usually smaller. By default, Matplotlib rarely makes use of minor ticks, but one place you can see them is within logarithmic plots:\n",
    "\n",
    "在每个坐标轴上，都有*主要的*刻度和*次要的*刻度概念。正如名字指代的，主要刻度通常是大的和更多用到的，而次要刻度通常是小的。默认Matplotlib很少使用次要刻度，但是在对数图表中我们可能会看到它们：\n",
    "\n",
    "译者注：在Matplotlib 2.0之后，当axis的跨度过大时，默认次要刻度将会不再展示，因此，下面的代码经过了修改，加上了xlim和ylim参数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')\n",
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes(xscale='log', yscale='log', xlim=[10e-5, 10e5], ylim=[10e-5, 10e5])\n",
    "ax.grid();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We see here that each major tick shows a large tickmark and a label, while each minor tick shows a smaller tickmark with no label.\n",
    "\n",
    "我们看到每个主要刻度显示了一个大的标志和标签，而每个次要刻度显示了一个小的刻度标志没有标签。\n",
    "\n",
    "> These tick properties—locations and labels—that is, can be customized by setting the ``formatter`` and ``locator`` objects of each axis. Let's examine these for the x axis of the just shown plot:\n",
    "\n",
    "这些刻度属性，位置和标签，都可以使用每个轴的`formatter`和`locator`对象进行个性化设置。下面我们来查看一下x轴的相应对象："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogLocator object at 0x7f7f7419edd8>\n",
      "<matplotlib.ticker.LogLocator object at 0x7f7f58fc8f98>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_locator())\n",
    "print(ax.xaxis.get_minor_locator())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<matplotlib.ticker.LogFormatterSciNotation object at 0x7f7f740d1e80>\n",
      "<matplotlib.ticker.LogFormatterSciNotation object at 0x7f7f58fc88d0>\n"
     ]
    }
   ],
   "source": [
    "print(ax.xaxis.get_major_formatter())\n",
    "print(ax.xaxis.get_minor_formatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> We see that both major and minor tick labels have their locations specified by a ``LogLocator`` (which makes sense for a logarithmic plot). Minor ticks, though, have their labels formatted by a ``NullFormatter``: this says that no labels will be shown.\n",
    "\n",
    "我们看到主要和次要刻度的位置都是使用`LogLocator`来设置的（对于对数图表来说那是理所当然的）。然而次要刻度的标签的格式是`NullFormatter`：这表示次要刻度不会显示标签。\n",
    "\n",
    "译者注：新版Matplotlib已经修改，可以看到Formatter都统一成为了LogFormatterSciNotation，再根据图表实际情况选择是否展示标签。\n",
    "\n",
    "> We'll now show a few examples of setting these locators and formatters for various plots.\n",
    "\n",
    "下面我们就可以开始介绍一些设置这些locator和formatter的例子了。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hiding Ticks or Labels\n",
    "\n",
    "## 隐藏刻度和标签\n",
    "\n",
    "> Perhaps the most common tick/label formatting operation is the act of hiding ticks or labels.\n",
    "This can be done using ``plt.NullLocator()`` and ``plt.NullFormatter()``, as shown here:\n",
    "\n",
    "也许最常见的刻度/标签格式设置的操作是隐藏刻度或标签。这可以通过使用`plt.NullLocator()`和`plt.NullFormatter()`来设置，如下例："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.axes()\n",
    "ax.plot(np.random.rand(50))\n",
    "\n",
    "ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "ax.xaxis.set_major_formatter(plt.NullFormatter())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Notice that we've removed the labels (but kept the ticks/gridlines) from the x axis, and removed the ticks (and thus the labels as well) from the y axis.\n",
    "Having no ticks at all can be useful in many situations—for example, when you want to show a grid of images.\n",
    "For instance, consider the following figure, which includes images of different faces, an example often used in supervised machine learning problems (see, for example, [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)):\n",
    "\n",
    "注意上图中我们去除了x轴的标签（但是保留了刻度或网格线），y轴的刻度和标签都被去除了。图表中没有刻度和标签在很多情况下很有用，例如，当你希望展示一个图像的网格。比方说，考虑下面的图表，包含着不同的头像，一个很常见的有监督机器学习问题（参见[深入：支持向量机](05.07-Support-Vector-Machines.ipynb)）："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 25 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(5, 5, figsize=(5, 5))\n",
    "fig.subplots_adjust(hspace=0, wspace=0)\n",
    "\n",
    "# 从scikit-learn载入头像数据集\n",
    "from sklearn.datasets import fetch_olivetti_faces\n",
    "faces = fetch_olivetti_faces().images\n",
    "\n",
    "for i in range(5):\n",
    "    for j in range(5):\n",
    "        ax[i, j].xaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].yaxis.set_major_locator(plt.NullLocator())\n",
    "        ax[i, j].imshow(faces[10 * i + j], cmap=\"bone\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Notice that each image has its own axes, and we've set the locators to null because the tick values (pixel number in this case) do not convey relevant information for this particular visualization.\n",
    "\n",
    "注意上图中每张图像都有它自己的axes，我们将每一个axes的locator都设置为null因为这些刻度值（像素值）在这里并没有任何实际意义。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reducing or Increasing the Number of Ticks\n",
    "\n",
    "## 减少或增加刻度的数量\n",
    "\n",
    "> One common problem with the default settings is that smaller subplots can end up with crowded labels.\n",
    "We can see this in the plot grid shown here:\n",
    "\n",
    "默认设置的一个常见问题是当子图表较小时，刻度标签可能会粘在一起。我们可以从下面例子看到："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 4, sharex=True, sharey=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Particularly for the x ticks, the numbers nearly overlap and make them quite difficult to decipher.\n",
    "We can fix this with the ``plt.MaxNLocator()``, which allows us to specify the maximum number of ticks that will be displayed.\n",
    "Given this maximum number, Matplotlib will use internal logic to choose the particular tick locations:\n",
    "\n",
    "特别是x轴，标签的数字就快重叠在一起了，这让这些标签难以认清。我们可以通过`plt.MaxNLocator()`来修正这点，用它可以设置最大展示刻度的数量。Matplotlib会自己计算按照这个最大数量计算的刻度位置："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 对x和y轴设置刻度最大数量\n",
    "for axi in ax.flat:\n",
    "    axi.xaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "    axi.yaxis.set_major_locator(plt.MaxNLocator(3))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This makes things much cleaner. If you want even more control over the locations of regularly-spaced ticks, you might also use ``plt.MultipleLocator``, which we'll discuss in the following section.\n",
    "\n",
    "上图就清晰多了。如果你希望对于刻度位置进行更加精细的控制，你可以使用`plt.MultipleLocator`，我们会接下来讨论这个对象。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fancy Tick Formats\n",
    "\n",
    "## 复杂的刻度格式\n",
    "\n",
    "> Matplotlib's default tick formatting can leave a lot to be desired: it works well as a broad default, but sometimes you'd like do do something more.\n",
    "Consider this plot of a sine and a cosine:\n",
    "\n",
    "Matplotlib的默认刻度格式只能在很多常见情况下工作良好，但是在特殊情况下你会希望能够更多的进行个性化。考虑下面的正弦和余弦图表："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制正弦和余弦图表\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 3 * np.pi, 1000)\n",
    "ax.plot(x, np.sin(x), lw=3, label='Sine')\n",
    "ax.plot(x, np.cos(x), lw=3, label='Cosine')\n",
    "\n",
    "# 设置网格、图例和轴极限\n",
    "ax.grid(True)\n",
    "ax.legend(frameon=False)\n",
    "ax.axis('equal')\n",
    "ax.set_xlim(0, 3 * np.pi);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> There are a couple changes we might like to make. First, it's more natural for this data to space the ticks and grid lines in multiples of $\\pi$. We can do this by setting a ``MultipleLocator``, which locates ticks at a multiple of the number you provide. For good measure, we'll add both major and minor ticks in multiples of $\\pi/4$:\n",
    "\n",
    "这里有几个我们希望进行的改变。首先，如果刻度的间距和网格线是$\\pi$的倍数会显得更加自然。我们可以通过`MultipleLocator`来设置它，这个对象用来设置刻度的配置。为了更直观，我们设置主要刻度为$\\frac{\\pi}{2}$位置，设置次要刻度为$\\frac{\\pi}{4}$位置："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.xaxis.set_major_locator(plt.MultipleLocator(np.pi / 2))\n",
    "ax.xaxis.set_minor_locator(plt.MultipleLocator(np.pi / 4))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> But now these tick labels look a little bit silly: we can see that they are multiples of $\\pi$, but the decimal representation does not immediately convey this.\n",
    "To fix this, we can change the tick formatter. There's no built-in formatter for what we want to do, so we'll instead use ``plt.FuncFormatter``, which accepts a user-defined function giving fine-grained control over the tick outputs:\n",
    "\n",
    "但是上图看起来有点傻：我们可以看出刻度确实是$\\pi$的倍数，但是使用了小数的展示让它们看起来很奇怪。要修正这些标签，我们需要修改刻度的formatter。在这种情况中，没有內建的formatter可以给我们使用，因此我们使用`plt.FuncFormatter`，这个对象能够接受一个用户自定义的函数来提供对于刻度标签的精细控制："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def format_func(value, tick_number):\n",
    "    # N是pi/2的倍数\n",
    "    N = int(np.round(2 * value / np.pi))\n",
    "    if N == 0:\n",
    "        return \"0\" # 0点\n",
    "    elif N == 1:\n",
    "        return r\"$\\frac{\\pi}{2}$\" # pi/2\n",
    "    elif N == 2:\n",
    "        return r\"$\\pi$\" # pi\n",
    "    elif N % 2 > 0:\n",
    "        return r\"$\\frac{{%d}\\pi}{2}$\" %N # n*pi/2 n是奇数\n",
    "    else:\n",
    "        return r\"${0}\\pi$\".format(N // 2) # n*pi n是整数\n",
    "\n",
    "ax.xaxis.set_major_formatter(plt.FuncFormatter(format_func))\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> This is much better! Notice that we've made use of Matplotlib's LaTeX support, specified by enclosing the string within dollar signs. This is very convenient for display of mathematical symbols and formulae: in this case, ``\"$\\pi$\"`` is rendered as the Greek character $\\pi$.\n",
    "\n",
    "上图看起来好多了。注意到我们使用到了Matplotlib的LaTeX支持，使用美元符号将LaTeX字符串括起来。这是用来展示数学符号和公式的简便方法：在这个例子中``\"$\\pi$\"``被渲染成希腊字母$\\pi$。\n",
    "\n",
    "> The ``plt.FuncFormatter()`` offers extremely fine-grained control over the appearance of your plot ticks, and comes in very handy when preparing plots for presentation or publication.\n",
    "\n",
    "`plt.FuncFomatter()`提供了对于图表刻度最高级的自定义和精细控制，并且当你需要创建需要印刷或出版的图表时非常方便。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary of Formatters and Locators\n",
    "\n",
    "## Formatter 和 Locator 总结\n",
    "\n",
    "> We've mentioned a couple of the available formatters and locators.\n",
    "We'll conclude this section by briefly listing all the built-in locator and formatter options. For more information on any of these, refer to the docstrings or to the Matplotlib online documentaion.\n",
    "Each of the following is available in the ``plt`` namespace:\n",
    "\n",
    "我们已经介绍了一些formatter和locator。在最后我们通过将內建的locator和formatter参数列出来对本节做一个总结。要获得更多相关内容，请参阅文档或Matplotlib的在线文档。下表中列出的对象在`plt`命名空间中都是有效的：\n",
    "\n",
    "Locator对象        | 描述\n",
    "---------------------|-------------\n",
    "``NullLocator``      | 无刻度\n",
    "``FixedLocator``     | 固定刻度位置\n",
    "``IndexLocator``     | 序号图表刻度 (例如x = range(len(y)))\n",
    "``LinearLocator``    | 从最小到最大值的均匀分割刻度\n",
    "``LogLocator``       | 从最小到最大值的对数分割刻度\n",
    "``MultipleLocator``  | 某个基数的倍数刻度\n",
    "``MaxNLocator``      | 刻度数量最大值\n",
    "``AutoLocator``      | 默认的刻度数量最大值\n",
    "``AutoMinorLocator`` | 默认的次要刻度\n",
    "\n",
    "Formatter对象       | 描述\n",
    "----------------------|---------------\n",
    "``NullFormatter``     | 无标签\n",
    "``IndexFormatter``    | 从一个列表获得标签\n",
    "``FixedFormatter``    | 从固定的字符串设置标签\n",
    "``FuncFormatter``     | 使用自定义函数设置标签\n",
    "``FormatStrFormatter``| 使用一个格式化字符串设置标签\n",
    "``ScalarFormatter``   | 默认的标量标签\n",
    "``LogFormatter``      | 默认的对数标签\n",
    "\n",
    "> We'll see further examples of these through the remainder of the book.\n",
    "\n",
    "在本书后续章节我们会看到更多的例子。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [文本和标注](04.09-Text-and-Annotation.ipynb) | [目录](Index.ipynb) | [自定义matplotlib：配置和样式单](04.11-Settings-and-Stylesheets.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/wangyingsm/Python-Data-Science-Handbook/blob/master/notebooks/04.10-Customizing-Ticks.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
